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Finding the Fourth Proportional to 280,413.08, 386,992.14 and 159,559.46

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Solution

The fourth proportional to 280,413.08, 386,992.14 and 159,559.46 is: 220,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,413.08 : 386,992.14 = 159,559.46 : x
  2. Step 2: Convert to fraction form
    280,413.08/386,992.14 = 159,559.46/x
  3. Step 3: Cross multiply
    280,413.08x = 386,992.14 × 159,559.46
  4. Step 4: Simplify right side
    280,413.08x = 61,748,256,882.64
  5. Step 5: Solve for x
    x = 61,748,256,882.64/280,413.08
  6. Step 6: Final answer
    x = 220,204.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.